Search a number
-
+
7986045160 = 235316440359
BaseRepresentation
bin1110111000000000…
…10110000011101000
3202121120011010110101
413130000112003220
5112323411421120
63400240355144
7401621156332
oct73400260350
922546133411
107986045160
113428a06a25
12166a615ab4
139a3698412
1455a8b4452
1531b19090a
hex1dc0160e8

7986045160 has 32 divisors (see below), whose sum is σ = 18548236800. Its totient is φ = 3091371840.

The previous prime is 7986045127. The next prime is 7986045161. The reversal of 7986045160 is 615406897.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7986045160.

It is not an unprimeable number, because it can be changed into a prime (7986045161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3218940 + ... + 3221419.

It is an arithmetic number, because the mean of its divisors is an integer number (579632400).

Almost surely, 27986045160 is an apocalyptic number.

It is an amenable number.

7986045160 is an abundant number, since it is smaller than the sum of its proper divisors (10562191640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7986045160 is a wasteful number, since it uses less digits than its factorization.

7986045160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440401 (or 6440397 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 7986045160 is about 89364.6751238989. The cubic root of 7986045160 is about 1998.8364198386.

The spelling of 7986045160 in words is "seven billion, nine hundred eighty-six million, forty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 6440359 12880718 25761436 32201795 51522872 64403590 128807180 199651129 257614360 399302258 798604516 998255645 1597209032 1996511290 3993022580 7986045160